Zhao, YihanXia, YuanpeiYang, Zhichun2021-10-012021-10-012020-07-06Zhao, Y., Xia, Y., & Yang, Z. (2020). Asymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise. <i>Electronic Journal of Differential Equations, 2020</i>(71), pp. 1-17.1072-6691https://hdl.handle.net/10877/14578In this article, we propose a three-species prey-predator system with Holling II functional response and stochastic perturbations involving white noise and Levy noise. Firstly, we study the existence and uniqueness of a global positive solution and stochastic ultimate boundedness. Then, we obtain sufficient conditions for stability, extinction, strongly persistence in the mean and stochastic permanence in the sense of probability for the stochastic system. The results show that both white noise and Levy noise may change the asymptotic properties of the population system. Finally, some examples that chaotic dynamics can be influenced by stochastic noises.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalPredator-prey systemLevy noiseWhite noiseExtinctionStochastic permanenceArticle